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Simplifying 19x + -7 = 10x + -52 Reorder the terms: -7 + 19x = 10x + -52 Reorder the terms: -7 + 19x = -52 + 10x Solving -7 + 19x = -52 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 19x + -10x = -52 + 10x + -10x Combine like terms: 19x + -10x = 9x -7 + 9x = -52 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 9x = -52 + 0 -7 + 9x = -52 Add '7' to each side of the equation. -7 + 7 + 9x = -52 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -52 + 7 9x = -52 + 7 Combine like terms: -52 + 7 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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